Logo ROOT   6.10/09
Reference Guide
rf110_normintegration.C File Reference

Detailed Description

View in nbviewer Open in SWAN 'BASIC FUNCTIONALITY' RooFit tutorial macro #110

Examples on normalization of p.d.f.s, integration of p.d.fs, construction of cumulative distribution functions from p.d.f.s in one dimension



Processing /mnt/build/workspace/root-makedoc-v610/rootspi/rdoc/src/v6-10-00-patches/tutorials/roofit/rf110_normintegration.C...
#include "RooRealVar.h"
#include "RooGaussian.h"
#include "RooConstVar.h"
#include "RooAbsReal.h"
#include "RooPlot.h"
#include "TCanvas.h"
#include "TAxis.h"
using namespace RooFit ;
void rf110_normintegration()
{
// S e t u p m o d e l
// ---------------------
// Create observables x,y
RooRealVar x("x","x",-10,10) ;
// Create p.d.f. gaussx(x,-2,3)
RooGaussian gx("gx","gx",x,RooConst(-2),RooConst(3)) ;
// R e t r i e v e r a w & n o r m a l i z e d v a l u e s o f R o o F i t p . d . f . s
// --------------------------------------------------------------------------------------------------
// Return 'raw' unnormalized value of gx
cout << "gx = " << gx.getVal() << endl ;
// Return value of gx normalized over x in range [-10,10]
RooArgSet nset(x) ;
cout << "gx_Norm[x] = " << gx.getVal(&nset) << endl ;
// Create object representing integral over gx
// which is used to calculate gx_Norm[x] == gx / gx_Int[x]
RooAbsReal* igx = gx.createIntegral(x) ;
cout << "gx_Int[x] = " << igx->getVal() << endl ;
// I n t e g r a t e n o r m a l i z e d p d f o v e r s u b r a n g e
// ----------------------------------------------------------------------------
// Define a range named "signal" in x from -5,5
x.setRange("signal",-5,5) ;
// Create an integral of gx_Norm[x] over x in range "signal"
// This is the fraction of of p.d.f. gx_Norm[x] which is in the
// range named "signal"
RooAbsReal* igx_sig = gx.createIntegral(x,NormSet(x),Range("signal")) ;
cout << "gx_Int[x|signal]_Norm[x] = " << igx_sig->getVal() << endl ;
// C o n s t r u c t c u m u l a t i v e d i s t r i b u t i o n f u n c t i o n f r o m p d f
// -----------------------------------------------------------------------------------------------------
// Create the cumulative distribution function of gx
// i.e. calculate Int[-10,x] gx(x') dx'
RooAbsReal* gx_cdf = gx.createCdf(x) ;
// Plot cdf of gx versus x
RooPlot* frame = x.frame(Title("c.d.f of Gaussian p.d.f")) ;
gx_cdf->plotOn(frame) ;
// Draw plot on canvas
new TCanvas("rf110_normintegration","rf110_normintegration",600,600) ;
gPad->SetLeftMargin(0.15) ; frame->GetYaxis()->SetTitleOffset(1.6) ;
frame->Draw() ;
}
Author
07/2008 - Wouter Verkerke

Definition in file rf110_normintegration.C.